What is the integral of-sin(x)+cos(x) ?

The integral of-sin(x)+cos(x) is cos(x)+sin(x)+C

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integral of-sin(x)+cos(x)

\int - sin (x) + cos (x) d x

cos (x) + sin (x) + C

Solution steps

\int - sin (x) + cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int sin (x) d x + \int cos (x) d x

\int sin (x) d x = - cos (x)

\int cos (x) d x = sin (x)

= - (- cos (x)) + sin (x)

Simplify

= cos (x) + sin (x)

Add a constant to the solution

= cos (x) + sin (x) + C

\int \frac{1}{x ^{2} + 625} d x

x \to 0 lim (\frac{∣ x ∣}{x ^{3} - 5})

y = 8 x^{2} - 5 x^{11}

\int (x - 2) e^{x + 3} d x

\frac{\partial}{\partial x} (4 x^{2} - y^{2} + 2 y)

What is the integral of-sin(x)+cos(x) ?
The integral of-sin(x)+cos(x) is cos(x)+sin(x)+C